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Finding the Fourth Proportional to 10,609.45, 14,641.02 and 5,894.17

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Solution

The fourth proportional to 10,609.45, 14,641.02 and 5,894.17 is: 8,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.45 : 14,641.02 = 5,894.17 : x
  2. Step 2: Convert to fraction form
    10,609.45/14,641.02 = 5,894.17/x
  3. Step 3: Cross multiply
    10,609.45x = 14,641.02 × 5,894.17
  4. Step 4: Simplify right side
    10,609.45x = 86,296,660.85
  5. Step 5: Solve for x
    x = 86,296,660.85/10,609.45
  6. Step 6: Final answer
    x = 8,133.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.